105072976 has 20 divisors (see below), whose sum is σ = 203756800. Its totient is φ = 52490592.

The previous prime is 105072973. The next prime is 105072991. The reversal of 105072976 is 679270501.

It is a super-2 number, since 2×105072976² = 22080660570993152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105072973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23185 + ... + 27343.

It is an arithmetic number, because the mean of its divisors is an integer number (10187840).

Almost surely, 2^105072976 is an apocalyptic number.

105072976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105072976 is a deficient number, since it is larger than the sum of its proper divisors (98683824).

105072976 is a wasteful number, since it uses less digits than its factorization.

105072976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 105072976 is about 10250.5110116521. The cubic root of 105072976 is about 471.8786674627.

The spelling of 105072976 in words is "one hundred five million, seventy-two thousand, nine hundred seventy-six".